Boundedness, Compactness and Schatten-class Membership of Weighted Composition Operators
نویسندگان
چکیده
The boundedness and compactness of weighted composition operators on the Hardy space H of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schattenclass membership is also considered; as a result, stronger forms of the two main results of a recent paper of Gunatillake are derived. Finally, weighted composition operators on weighted Bergman spaces A α (D) are considered, and the results of Harper and Smith, linking their properties to those of Carleson embeddings, are extended to this situation.
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